Answer
See graph below.
Work Step by Step
The question ONLY asks for a graph of the polar equation.
Given $r = 2\cos 3θ$
Table of Values:
$(2, 0)$
$(1, \frac{\pi}{9})$
$(0, \frac{\pi}{6})$
$(-1, \frac{2\pi}{9})$
$(-2, \frac{\pi}{3})$
$(-1, \frac{4\pi}{9})$
$(0, \frac{3\pi}{6})$
$(1, \frac{5\pi}{9})$
See graph below. It is in the shape of a flower/rose.
